1. A football team won 60% of its matches. What fraction of the matches did the football team win?
2. 4/5 of the books in a library are fiction books. What percent of the books are fiction books?
3. If 70% of a tank is filled with water, what percent of the tank is not filled?
4. Mr. Yumena has painted 3/4 of a wall. What percent of the wall has he painted?
5. Claire answered 18 out of 20 questions correctly in Mathematics. What percent of the questions did she answer correctly?
please give me a answer
Answers
1.)A football team won 60% of its matches. What fraction of the matches did the football team win?
Answer-Your question is rather confusingly worded, but I’ll tackle it anyway.
If you meant that they’ve won every single game in the season so far, and the season is only 60% underway, then they’ve won all 30 games played so far. For the remaining 20 games, they only win 80% of them. This means that they win 16 more games, and lose 4, so they have won 46 out of 50 games in the entire season.
If you meant that they’ve already played 50 games so far this season and have won 60% of them, then they’ve won 30 out of 50 games so far. You’d have to specify how many more remaining games there are. There could be 100 remaining games, in which case they would win 110 out of 150 games. There could be 10 remaining games, in which case they’ve won 38 out of 60 games.
If you meant that they’ve only won 60% of the games that they’ve played so far in the season, then you’d have to specify how many games they’ve already played. If by the end of the season they play 50 games, but you have been counting their victories so far from the 20th game, then they would have won 12 games so far, and are due to win another 24, to total 36 out of 50. If you have been counting their victories so far from the 40th game, then they would have won 24 games so far, and would be due to win another 8, to total 32 out of 50.
2.)4/5 of the books in a library are fiction books. What percent of the books are fiction books?
Answer-Answer: 1/10 or 0.1
Step-by-step explanation: 2/5 x 1/4 = 2/20 or simplified 1/10
3. If 70% of a tank is filled with water, what percent of the tank is not filled?
In 1 hour the tank would fill 50 ‰ from the 2 hour tap plus 20% from the 5 hour tap. Thus the tank fills at the rate of 70% per hour. The tank will be full at 100/70 hours. Just a bit short of 1.5 hours.
On the other hand, if the taps are serviced by the same pipe, it gets more interesting. If the flow rate is sufficient to have both taps running at capacity, the former calculation is still correct. If the flow rate is at capacity for the 2 hour tap, the tank will fill in 2 hours, both taps adding up to the 2 hour flow. If the flow capacity is anything in between, the time to fill will be between about 1.5 hours and 2 hours.
4. Mr. Yumena has painted 3/4 of a wall. What percent of the wall has he painted?
2/3 is the answer....
5. Claire answered 18 out of 20 questions correctly in Mathematics. What percent of the questions did she answer correctly?
25 questions in total
x = number of correct answers
If we assume she answered every question,
8x - 3(25-x) = 110
8x - 75 + 3x = 110
11x = 185
x = 185/11 (not a reducible fraction)
So we know she couldn’t have answered every question. We also know that she couldn’t have only answered correct questions, since 110 is not divisible by 8.
So let’s set the number of wrong answers as y, and then the number of questions she answered is x + y, and the number she didn’t answer is 25 - x - y.
8x - 3y + 0(25 - x - y) = 110
Since she didn’t only answer correctly, we know that she must have gotten more than 110 points in correct answers.
8x > 110
Rounded up, x >= 14.
We also know she must have had an even number of incorrect answers, since the score is even, and the score from the correct answers must be even (multiplied by 8) so the score from the incorrect answers must also be even.
If x has a minimum value of 14, the max for y = 25 - 14 = 11. Since that’s not even, we can say y = {2, 4, 6, 8, 10}.
We also know x can’t be 25, since she didn’t score 200, and since the min of y is 2, x can max out at 23, so x = {14, 15, 16, 17, 18, 19, 20, 21, 22, 23}.
If we show them as potential positive and negative scores:
3y = {6, 12, 18, 24, 30}
8x = {112, 120, 128, 136, 144, 152, 160, 168, 176, 184}
As 3y maxes out at 30, then x cannot be larger than 110 + 30 = 140, reducing our potential x values to
8x = {112, 120, 128, 136}
So with our few options, it becomes apparent that the answer must be 8x = 128 and 3y = 18, or x = 16 and y = 6, for a total of 22 questions answered.